by associating to the escaping set \(\mathcal {I}(f)\)  some non-autonomous conformal iterated function system. This allows us to apply then some results of Rempe-Gillen and the second named author obtained in [1]}. We construct our non-autonomous iterated function system
by carefully choosing appropriate inverse branches of the third iterate of the function \(f\) , and by doing some desingularizing change of variables which moves infinity to zero. Theorem REF  is then proved.
